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Finding the Fourth Proportional to 137,951.52, 206,754.12 and 58,972.92

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Solution

The fourth proportional to 137,951.52, 206,754.12 and 58,972.92 is: 88,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,951.52 : 206,754.12 = 58,972.92 : x
  2. Step 2: Convert to fraction form
    137,951.52/206,754.12 = 58,972.92/x
  3. Step 3: Cross multiply
    137,951.52x = 206,754.12 × 58,972.92
  4. Step 4: Simplify right side
    137,951.52x = 12,192,894,178.43
  5. Step 5: Solve for x
    x = 12,192,894,178.43/137,951.52
  6. Step 6: Final answer
    x = 88,385.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.